The Application of a Hankel Transformation to a Class of Circularly Symmetric Coverage Problems

Gerhard Schroeter
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Gerhard Schroeter: Industrieanlagen-Betriebsgesellschaft mbH, Ottobrunn, Germany

Operations Research, 1977, vol. 25, issue 4, 675-687

Abstract: The expected coverage of a target with a circularly symmetric value density function by a circularly symmetric damage function, where the distance between their centers is a stochastic variable, is expressed in terms of Hankel transforms. In problems of this type, the Hankel transformation of order zero plays a role similar to that of the Fourier transformation in the case of ordinary convolution integrals. Several well-known singular results for circularly symmetric coverage problems are unified and generalized.

Date: 1977
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